How do you simplify $sqrt(3x) * sqrt3$ ?

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Answer 1 · 2016-03-09T21:03:17

$3*sqrtx$

Note that radicals can be split up as follows:

$sqrt(ab)=sqrta*sqrtb$

So,

$sqrt(3x)=sqrt3*sqrtx$

This gives us a simplified expression of

$=sqrt3*sqrtx * sqrt3$

Now, simplify the two $sqrt3$ terms using the rule:

$sqrta*sqrta=a$

So, $sqrt3*sqrt3=3$ and the expression equals

$=3*sqrtx$

How do you simplify sqrt(3x) * sqrt3 sqrt(3x) * sqrt3?